Re: how to remove \$RecursionLimit::reclim: and \$IterationLimit::itlim:

• To: mathgroup at smc.vnet.net
• Subject: [mg115398] Re: how to remove \$RecursionLimit::reclim: and \$IterationLimit::itlim:
• From: "Sjoerd C. de Vries" <sjoerd.c.devries at gmail.com>
• Date: Mon, 10 Jan 2011 02:36:47 -0500 (EST)
• References: <igbne1\$hdh\$1@smc.vnet.net>

```As far as I can see your definition of conj doesn't include a stop
condition so you always get infinite recursions

Cheers -- Sjoerd

On Jan 9, 8:17 am, tarun dutta <tarundut... at gmail.com> wrote:
> Do[Print[n = 5;
>   q = 1;
>   Print["P= ", p, " Q=", q];
>   d[n + 1] = 0; g[n + 1] = 0;
>   d[i_] = re[i] + I*im[i];
>   g[i_] = ree[i] + I*imm[i];
>   conj[a_] := ComplexExpand[Conjugate[a]]
>     f1 = Together[
>       Sum[6*p*Sqrt[i + 1]*d[i]*
>          conj[d[i + 1]]*(Sum[
>            Sqrt[i]*g[i]*conj[g[i - 1]], {i, 0, n}]) +
>         6*p*Sqrt[i]*d[i]*
>          conj[d[i - 1]]*(Sum[
>            Sqrt[i + 1]*g[i]*conj[g[i + 1]], {i, 0, n}]) + (-q=
*i +
>            i (i - 1))* d[i]*conj[d[i]], {i, 0, n}]];
>   f2 = Together[
>     Sum[6*p*Sqrt[i + 1]*g[i]*
>        conj[g[i + 1]]*(Sum[
>          Sqrt[i]*d[i]*conj[d[i - 1]], {i, 0, n}]), {i, 0, n}] +
>      Sum[6*p*Sqrt[i]*g[i]*
>         conj[g[i - 1]]*(Sum[
>           Sqrt[i + 1]*d[i]*conj[d[i + 1]], {i, 0, n}]) + (-q*i =
+
>           i (i - 1)) g[i]*conj[g[i]], {i, 0, n}]];
>   f = Plus[f1, f2];
>   c = Expand@
>      ComplexExpand[
>       Sum[d[i]*conj[d[i]] + g[i]*conj[g[i]], {i, 0, n}]] == 1;
>   v = Join[Array[re, n + 1, 0], Array[im, n + 1, 0],
>     Array[ree, n + 1, 0], Array[imm, n + 1, 0]];
>   Timing[NMinimize[{f, c}, v,
>     Method -> {"RandomSearch", Method -> "InteriorPoint"}]]], {p, 0,
>   2/10, 1/1000}]
> (*table=Table[Block[{p=pi,q=qi},min=First[NMinimize[{f,c},v,Metho=
d->{\
> "RandomSearch",Method->"InteriorPoint"}]];
> Print[p,Tab,q,Tab,min];{p,q,min}],{pi,0,2},{qi,0,2}];*)
>
> P= 0 Q=1
>
> \$RecursionLimit::reclim: Recursion depth of 256 exceeded. >>
>
> \$RecursionLimit::reclim: Recursion depth of 256 exceeded. >>
>
> \$RecursionLimit::reclim: Recursion depth of 256 exceeded. >>
>
> General::stop: Further output of \$RecursionLimit::reclim will be
> suppressed during this calculation. >>
>
> \$IterationLimit::itlim: Iteration limit of 4096 exceeded. >>
>
> \$IterationLimit::itlim: Iteration limit of 4096 exceeded. >>
>
> \$IterationLimit::itlim: Iteration limit of 4096 exceeded. >>
>
> General::stop: Further output of \$IterationLimit::itlim will be
> suppressed during this calculation. >>
>
> my problem is that how will I remove this kind of error?
> give some valuable insight
> regards,
> tarun

```

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